Question

which term of the following series is first negative term 500, 497,494,491,488..​

Answer 1

Answer:

168th term

Step-by-step explanation:

500, 497, 494, 491, 488 .........

first term a = 500

common difference = a2 - a1 = a3 - a2

497 - 500 = 494 - 497

- 3 = - 3

first negative term will be less than zero

therefore we take An < 0

An = a + (n-1)d

0 < 500 + (n-1) × -3

0 < 500 + (-3n + 3)

0 < 500 - 3n + 3

0 < 503 - 3n

- 503 < - 3n

n > 503/3

n > 167. 6

therefore the 168th term is first negative term

verification

= 500 + (168 - 1) × -3

= 500 + (167 × -3)

= 500 + (- 501)

= 500 - 501

= - 1

hope you get your answer